Display Abstract

Title Asymptotic behaviour of dissipative lattice dynamical systems with delays

Name Tomas Caraballo
Country Spain
Email caraball@us.es
Co-Author(s) F. Morillas and J. Valero
Submit Time 2014-03-26 02:44:39
Session
Special Session 9: Dissipative systems and applications
Contents
The aim of this talk is to analyze a class of lattice differential equations containing some hereditary characteristics (delays). First we establish some results ensuring existence of solutions, and uniqueness when we impose stronger assumptions. Next we prove the existence of an attractor for the dynamical system generated by the model. We will use techniques from set-valued or multi-valued dynamical systems since we will only impose rather general hypotheses which do not guarantee, in principle, the uniqueness of solutions. Finally, some illustrative applications will be shown.